TSTP Solution File: PUZ129+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : PUZ129+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n025.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Mon Jul 18 18:26:54 EDT 2022

% Result   : Theorem 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   23 (  14 unt;   0 nHn;  23 RR)
%            Number of literals    :   39 (  10 equ;  18 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-1 aty)
%            Number of variables   :   10 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
    ( ~ person(X)
    | ~ property1(X,honest,pos)
    | ~ property1(X,industrious,pos)
    | property1('SKOLEMAAAV1'(X),healthy,pos) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove) ).

cnf(2,negated_conjecture,
    ( ~ person(X)
    | ~ property1(X,honest,pos)
    | ~ property1(X,industrious,pos)
    | X = 'SKOLEMAAAV1'(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove) ).

cnf(3,negated_conjecture,
    ( ~ grocer(X)
    | ~ property1(Y,healthy,pos)
    | X != Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove) ).

cnf(4,negated_conjecture,
    ( ~ grocer(X)
    | ~ property1(X,industrious,pos)
    | property1('SKOLEMAAAV2'(X),honest,pos) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove) ).

cnf(5,negated_conjecture,
    ( ~ grocer(X)
    | ~ property1(X,industrious,pos)
    | X = 'SKOLEMAAAV2'(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove) ).

cnf(6,negated_conjecture,
    ( ~ cyclist(X)
    | property1('SKOLEMAAAV3'(X),industrious,pos) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove) ).

cnf(7,negated_conjecture,
    ( ~ cyclist(X)
    | X = 'SKOLEMAAAV3'(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove) ).

cnf(12,negated_conjecture,
    ( ~ grocer(X)
    | person('SKOLEMAAAV5'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove) ).

cnf(13,negated_conjecture,
    ( ~ grocer(X)
    | X = 'SKOLEMAAAV5'(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove) ).

cnf(16,negated_conjecture,
    grocer('SKOLEMAAAV7'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove) ).

cnf(17,negated_conjecture,
    cyclist('SKOLEMAAAV8'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove) ).

cnf(18,negated_conjecture,
    'SKOLEMAAAV7' = 'SKOLEMAAAV8',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove) ).

cnf(19,plain,
    cyclist('SKOLEMAAAV7'),
    inference('REWRITE',[status(thm)],[17,18,theory(equality)]) ).

cnf(20,plain,
    person('SKOLEMAAAV5'('SKOLEMAAAV7')),
    inference('HYPERRESOLVE',[status(thm)],[12,16]) ).

cnf(22,plain,
    'SKOLEMAAAV7' = 'SKOLEMAAAV3'('SKOLEMAAAV7'),
    inference('HYPERRESOLVE',[status(thm)],[7,19]) ).

cnf(23,plain,
    'SKOLEMAAAV7' = 'SKOLEMAAAV5'('SKOLEMAAAV7'),
    inference('HYPERRESOLVE',[status(thm)],[13,16]) ).

cnf(24,plain,
    person('SKOLEMAAAV7'),
    inference('REWRITE',[status(thm)],[20,23,theory(equality)]) ).

cnf(26,plain,
    property1('SKOLEMAAAV7',industrious,pos),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[6,19]),22,theory(equality)]) ).

cnf(27,plain,
    ~ property1('SKOLEMAAAV7',healthy,pos),
    inference('UR-RESOLVE',[status(thm)],[3,16,theory(equality)]) ).

cnf(28,plain,
    'SKOLEMAAAV7' = 'SKOLEMAAAV2'('SKOLEMAAAV7'),
    inference('HYPERRESOLVE',[status(thm)],[5,26,16]) ).

cnf(29,plain,
    property1('SKOLEMAAAV7',honest,pos),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[4,26,16]),28,theory(equality)]) ).

cnf(31,plain,
    'SKOLEMAAAV7' = 'SKOLEMAAAV1'('SKOLEMAAAV7'),
    inference('HYPERRESOLVE',[status(thm)],[2,29,24,26]) ).

cnf(32,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[1,29,24,26]),27,31,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : PUZ129+2 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n025.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sat May 28 21:19:26 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-28T21:19:26
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-05-28T21:19:26
% 0.19/0.50  
% 0.19/0.50  
% 0.19/0.50  #||
% 0.19/0.50  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.50  % SZS output start Refutation
% See solution above
% 0.19/0.50  ||#
% 0.19/0.50  
% 0.19/0.50  ; Summary of computation:
% 0.19/0.50  ;        55 formulas have been input or derived (from 26 formulas).
% 0.19/0.50  ;        32 (58%) were retained.  Of these,
% 0.19/0.50  ;            3 ( 9%) were simplified or subsumed later,
% 0.19/0.50  ;           29 (91%) are still being kept.
% 0.19/0.50  ; 
% 0.19/0.50  ; Run time in seconds excluding printing time:
% 0.19/0.50  ;     0.003   9%   Read assertion file          (1 call)
% 0.19/0.50  ;     0.001   3%   Assert                       (1 call)
% 0.19/0.50  ;     0.001   3%   Process new row              (42 calls)
% 0.19/0.50  ;     0.002   6%   Resolution                   (50 calls)
% 0.19/0.50  ;     0.000   0%   Paramodulation               (25 calls)
% 0.19/0.50  ;     0.000   0%   Condensing                   (15 calls)
% 0.19/0.50  ;     0.000   0%   Forward subsumption          (15 calls)
% 0.19/0.50  ;     0.001   3%   Backward subsumption         (15 calls)
% 0.19/0.50  ;     0.002   6%   Forward simplification       (42 calls)
% 0.19/0.50  ;     0.000   0%   Backward simplification      (32 calls)
% 0.19/0.50  ;     0.000   0%   Ordering                     (31 calls)
% 0.19/0.50  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.50  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.50  ;     0.022  69%   Other
% 0.19/0.50  ;     0.032        Total
% 0.19/0.50  ;     0.035        Real time
% 0.19/0.50  ; 
% 0.19/0.50  ; Term-hash-array has 50 terms in all.
% 0.19/0.50  ; Feature-vector-row-index has 15 entries (15 at peak, 15 added, 0 deleted).
% 0.19/0.50  ; Feature-vector-row-index has 67 nodes (67 at peak, 67 added, 0 deleted).
% 0.19/0.50  ;  Retrieved 0 possibly forward subsuming rows in 15 calls.
% 0.19/0.50  ;  Retrieved 0 possibly backward subsumed rows in 15 calls.
% 0.19/0.50  ; Path-index has 55 entries (55 at peak, 58 added, 3 deleted).
% 0.19/0.50  ; Path-index has 80 nodes (80 at peak, 83 added, 3 deleted).
% 0.19/0.50  ; Trie-index has 55 entries (55 at peak, 58 added, 3 deleted).
% 0.19/0.50  ; Trie-index has 103 nodes (103 at peak, 106 added, 3 deleted).
% 0.19/0.50  ; Retrieved 13 generalization terms in 21 calls.
% 0.19/0.50  ; Retrieved 16 instance terms in 16 calls.
% 0.19/0.50  ; Retrieved 209 unifiable terms in 269 calls.
% 0.19/0.50  ; 
% 0.19/0.50  ; The agenda of rows to process has 4 entries:
% 0.19/0.50  ;     4 with value 10
% 0.19/0.50  ; The agenda of rows to give has 3 entries:
% 0.19/0.50  ;     2 with value (4 8)           1 with value (4 9)
% 0.19/0.50  Evaluation took:
% 0.19/0.50    0.035 seconds of real time
% 0.19/0.50    0.030698 seconds of user run time
% 0.19/0.50    0.004309 seconds of system run time
% 0.19/0.50    0 calls to %EVAL
% 0.19/0.50    0 page faults and
% 0.19/0.50    2,923,456 bytes consed.
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-28T21:19:26
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  * 
%------------------------------------------------------------------------------